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Finding the Fourth Proportional to 870.48, 1,200.08 and 683.24

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Solution

The fourth proportional to 870.48, 1,200.08 and 683.24 is: 941.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.48 : 1,200.08 = 683.24 : x
  2. Step 2: Convert to fraction form
    870.48/1,200.08 = 683.24/x
  3. Step 3: Cross multiply
    870.48x = 1,200.08 × 683.24
  4. Step 4: Simplify right side
    870.48x = 819,938.37
  5. Step 5: Solve for x
    x = 819,938.37/870.48
  6. Step 6: Final answer
    x = 941.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.